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Brums [2.3K]
3 years ago
11

Which expression is equivalent to 9x + 54 – 27 + 3y + 6y?

Mathematics
1 answer:
sammy [17]3 years ago
5 0
9y+9x=27
x+y=3


<em><u /></em><u>Answer:</u> <em>x</em>+<em>y</em>=3
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What’s the value of x? :/
kolbaska11 [484]

Answer:

x = 27

Step-by-step explanation:

According to congruent chords and arcs theorem, if \overline{XY} \cong \overline{ZY} then \arc{XY} \cong \arc{ZY}.

This means that \arc{XY} = \arc{ZY} = (6x - 20) degrees

Thus:

\arc{XY} + \arc{ZY} + \arc{ZX} = 360 (full circle = 360°)

\arc{XY} = (6x - 20)

\arc{ZY} = (6x - 20)

\arc{ZX} = 76

Plug in the values into the equation

(6x - 20) + (6x - 20) + 76 = 360

6x - 20 + 6x - 20 + 76 = 360

Add like terms

12x + 36 = 360

Subtract 36 on both sides

12x = 360 - 36

12x = 324

Divide both sides by 12

x = 27

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3 years ago
Write a translation rule that maps point D(7,-3) onto point D'(2,5).
Sergio039 [100]
We are given D (7, -3) and D'(2, 5).

SAppy the transformation
D'(x,y) → D(x-5, y+8).
Then 
x=7 → x=7-5 = 2
y=-3 → y=-3+8 = 5

Answer: D (x-5, y+8) → D'
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Answer:

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Step-by-step explanation:

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3 years ago
The Length of a rectangle is 5 centimeters less than twice its width . The perimeter of the rectangle is 80cm. What are the dime
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Perimeter is the sum of all a shapes sides.

with that in mind, we know a rectangle has four sides. with 2 pairs being the same.

The length as told is, 5 centimeters less than two times the width. Two times the width would be 2w and five less than that would be minus five. so the length is 2w - 5

now to find the perimeter we do two times the width + two times the length.

2w + 2(2w -5) = 80.
Distribute: 2w + 4w - 10 = 80
Add ten to both sides and combine the 2w & 4w:
6w = 90
Divide both sides by 6: w = 15.

with this we know the width is 15. to find length plug in 15 to the 2w - 5 equation.

2(15) - 5 = 30 - 5 = 25.

Slap on the units and width = 15 cm, length = 25 cm


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